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2011, University lecture series, ISBN 0821853317, Volume 57., ix, 200
Book
2011, Student mathematical library, ISBN 0821853686, Volume 60., xiii, 314
Book
Mathematische Annalen, ISSN 0025-5831, 12/2018, Volume 372, Issue 3-4, pp. 1041 - 1080
Let X be a real algebraic subset of Rn. We investigate the theory of algebraically constructible functions on X and the description of the semi-algebraic... 
MATHEMATICS | SETS | Algebraic Geometry | Mathematics
Journal Article
2006, 2nd ed., Algorithms and Computation in Mathematics, ISBN 9783540330981, Volume 10, ix, 662
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and... 
Data processing | Algorithms | Geometry, Algebraic | Algebraic Geometry | Algebra | Symbolic and Algebraic Manipulation | Geometry, algebraic | Mathematics
Book
Journal of the Institute of Mathematics of Jussieu, ISSN 1474-7480, 06/2014, Volume 17, Issue 4, pp. 673 - 702
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2017, Volume 293, pp. 226 - 243
The solution set of a system of polynomial equations, called an algebraic set, can be decomposed into finitely many irreducible components. In numerical... 
Intersection | Witness set | Regeneration | Algebraic set | Numerical algebraic geometry | MATHEMATICS, APPLIED | SOLUTION SETS | DECOMPOSITION | REAL POINTS | COMPUTING SINGULAR SOLUTIONS | HOMOTOPY | SOLVING POLYNOMIAL SYSTEMS | Algorithms
Journal Article
Mathematische Semesterberichte, ISSN 0720-728X, 3/2019, Volume 66, Issue 1, pp. 73 - 87
We give a new method relying on Coxeter chambers for the geometrical description of real algebraic varieties invariant under the $$CB_{n}$$ CB n -Coxeter... 
Secondary: 14J70 | 14L24 | Mathematics | Invariant theory | 15A03 | 14J10 | 15A18 | Primary: 14R20 | Mathematics, general | Mirrors | Coxeter group | Real algebraic varieties | Chambers
Journal Article
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 07/2012, Volume 98, Issue 1, pp. 72 - 88
We prove the following CR version of Artinʼs approximation theorem for holomorphic mappings between real-algebraic sets in complex space. Let M⊂CN be a... 
CR orbits | CR manifold | Algebraic map | MATHEMATICS | MATHEMATICS, APPLIED | SUBMANIFOLDS | REAL | HOLOMORPHIC MAPPINGS | Complex Variables | Algebraic Geometry | Mathematics
Journal Article
Journal of the Royal Society Interface, ISSN 1742-5689, 10/2016, Volume 13, Issue 123, p. 20160256
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 11/2013, Volume 323, Issue 3, pp. 813 - 858
Journal Article
Discrete & Computational Geometry, ISSN 0179-5376, 6/2019, Volume 61, Issue 4, pp. 698 - 734
Journal Article
Revista Matemática Complutense, ISSN 1139-1138, 9/2018, Volume 31, Issue 3, pp. 545 - 593
We seek to determine a real algebraic variety from a fixed finite subset of points. Existing methods are studied and new methods are developed. Our focus lies... 
62J02 | Persistent homology | Mathematics | Real algebraic geometry | Topology | Point cloud data | Geometry | Interpolation | Algebra | Analysis | Mathematics, general | Applications of Mathematics | 13P25 | 14P25 | MATHEMATICS | MATHEMATICS, APPLIED | Mathematics - Algebraic Geometry
Journal Article
Compositio Mathematica, ISSN 0010-437X, 1/2011, Volume 147, Issue 1, pp. 161 - 187
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 03/2014, Volume 2014, Issue 688, pp. 219 - 241
A classical result due to Segre states that on a real cubic surface in there exist two kinds of real lines: elliptic and hyperbolic lines. These two kinds of... 
ENUMERATIVE GEOMETRY | MATHEMATICS | Geometric Topology | Algebraic Geometry | Mathematics
Journal Article
Annales Henri Poincare, ISSN 1424-0637, 07/2017, Volume 18, Issue 7, pp. 2251 - 2300
The notion of a topological phase of an insulator is based on the concept of homotopy between Hamiltonians. It therefore depends on the choice of a topological... 
BUNDLES | SYMMETRIES | PHYSICS, MULTIDISCIPLINARY | NONCOMMUTATIVE GEOMETRY | QUANTUM-SYSTEMS | REAL | K-THEORY | CLASSIFICATION | PHYSICS, MATHEMATICAL | OPERATORS | PHYSICS, PARTICLES & FIELDS | Algebra
Journal Article